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Quantum channels, also called quantum operations, are linear, trace preserving and completely positive transformations in the space of quantum states. Such operations describe discrete time evolution of an open quantum system interacting…

量子物理 · 物理学 2011-10-04 Wojciech Roga

We consider a system of multiple qubits without any quantum control. We show that one can mediate entanglement between different subsystems in a controlled way by adding a (locally) controlled auxiliary system of the same size that couples…

量子物理 · 物理学 2023-01-26 Ferran Riera-Sàbat , Pavel Sekatski , Wolfgang Dür

We investigate the dynamics of quantum discord and entanglement for a class of mixed qubit-qutrit states assuming that only the qutrit is under the action of a dephasing channel. We demonstrate that even though the entanglement in the…

量子物理 · 物理学 2013-04-02 G. Karpat , Z. Gedik

Two quantum channels are called compatible if they can be obtained as marginals from a single broadcasting channel; otherwise they are incompatible. We derive a characterization of the compatibility relation in terms of concatenation and…

量子物理 · 物理学 2017-03-06 Teiko Heinosaari , Takayuki Miyadera

When a quantum state undergoes a quantum channel, the state will be inevitably influenced. In general, the fidelity of the state is reduced, so is the entanglement if the sub- systems go through the channel. However, the influence on the…

量子物理 · 物理学 2014-11-04 Lin Wang , Chang-shui Yu

We show the equivalence of two different notions of quantum channel capacity: that which uses the entanglement fidelity as its criterion of success in transmission, and that which uses the minimum fidelity of pure states in a subspace of…

量子物理 · 物理学 2016-11-18 H. Barnum , E. Knill , M. A. Nielsen

Quantum correlations are contextual yet, in general, nothing prevents the existence of even more contextual correlations. We identify and test a noncontextuality inequality in which the quantum violation cannot be improved by any…

The existence of non-local quantum correlations is certainly the most important specific property of the quantum world. However, it is a challenging task to distinguish correlations of classical origin from genuine quantum correlations,…

量子物理 · 物理学 2016-09-14 S. Gerke , J. Sperling , W. Vogel , Y. Cai , J. Roslund , N. Treps , C. Fabre

The reliability of quantum channels for transmitting information is of profound importance from the perspective of quantum information. This naturally leads to the question as how well a quantum state is preserved when subjected to a…

量子物理 · 物理学 2021-01-19 Javid Naikoo , Subhashish Banerjee , R. Srikanth

Originated from the superposition principle in quantum mechanics, coherence has been extensively studied as a kind important resource in quantum information processing. We investigate the distinguishability of coherence-breaking channels…

量子物理 · 物理学 2019-09-04 Long-Mei Yang , Tao Li , Shao-Ming Fei , Zhi-Xi Wang

By exploiting a generalization of recent results on environment-assisted channel correction, we show that, whenever a quantum system undergoes a channel realized as an interaction with a probe, the more efficiently the information about the…

量子物理 · 物理学 2007-10-29 Francesco Buscemi

The difference of quantum mutual information for bipartite system of qubits and minimum taken with respect to local unitary transformation group is introduced as a characteristic of quantum correlations.The two qubits example (and…

量子物理 · 物理学 2013-06-19 V. I. Manko , Anatoli Yurkevich

Most studies of collective dephasing for bipartite as well as multipartite quantum systems focus on a very specific orientation of magnetic field, that is, z-orientation. However, in practical situations, there are always small fluctuations…

量子物理 · 物理学 2020-10-09 Mazhar Ali

Catalysts are quantum systems that open up dynamical pathways between quantum states which are otherwise inaccessible under a given set of operational restrictions while, at the same time, they do not change their quantum state. We here…

量子物理 · 物理学 2023-11-08 Lauritz van Luijk , Reinhard F. Werner , Henrik Wilming

It is shown that, if the loss of entanglement along a quantum channel is sufficiently small, then approximate quantum error correction is possible, thereby generalizing what happens for coherent information. Explicit bounds are obtained for…

量子物理 · 物理学 2008-01-15 Francesco Buscemi

We derive a necessary condition for the existence of a completely-positive, linear, trace-preserving map which deterministically transforms one finite set of pure quantum states into another. This condition is also sufficient for…

量子物理 · 物理学 2009-10-31 Anthony Chefles

Despite being created through a fundamentally quantum-mechanical process, cosmological structures have not yet revealed any sign of genuine quantum correlations. Among the obstructions to the direct detection of quantum signatures in…

广义相对论与量子宇宙学 · 物理学 2023-06-30 Thomas Colas , Julien Grain , Vincent Vennin

We give necessary and sufficient conditions for a Gaussian quantum channel to have a dilation involving a passive, i.e., number-preserving unitary. We then establish a normal form of such channels: any passively dilatable channel is the…

量子物理 · 物理学 2017-04-27 Martin Idel , Robert Koenig

The paper analyzes the behavior of quantum channels, particularly in large dimensions, by proving various properties of the quantum gate fidelity. Many of these properties are of independent interest in the theory of distance measures on…

量子物理 · 物理学 2011-07-12 Easwar Magesan

We extend the definition of the conditional min-entropy from bipartite quantum states to bipartite quantum channels. We show that many of the properties of the conditional min-entropy carry over to the extended version, including an…

量子物理 · 物理学 2019-04-04 Gilad Gour